Non-nesting actions of groups on real trees vs isometric actions
classification
🧮 math.GR
keywords
groupsactionsactionisometricnon-nestingsomeappliedconditions
read the original abstract
We study non-nesting actions on R-trees. We prove that some natural conditions describing how the group is generated, imply that such an action involves an isometric action on an R-tree. This can be applied to permutation groups, linear groups and some Polish groups.
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